What type of questions are scale questions?
In rating scale questions (sometimes referred to as ordinal questions), the question displays a scale of answer options from any range (0 to 100, 1 to 10, etc.). The respondent selects the number that most accurately represents their response. Net Promoter Score® questions are a good example of rating scale questions.
Why can z-scores be used to compare scores from different distributions with one another?
This example illustrates why z-scores are so useful for comparing data values from different distributions: z-scores take into account the mean and standard deviations of distributions, which allows us to compare data values from different distributions and see which one is higher relative to their own distributions.
Why are z-scores transformed?
Z transformation is the process of standardization that allows for comparison of scores from disparate distributions. Using a distribution mean and standard deviation, z transformations convert separate distributions into a standardized distribution, allowing for the comparison of dissimilar metrics.
Are z-scores useful?
The standard score (more commonly referred to as a z-score) is a very useful statistic because it (a) allows us to calculate the probability of a score occurring within our normal distribution and (b) enables us to compare two scores that are from different normal distributions.
What does the z score tell you about a score?
What does the z-score tell you? A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.
How to calculate the standard deviation of a z score?
You would just plug in the Z-score and mean into our formula, and then solve for the standard deviation using algebra. You also will need the number that the Z-score comes from (in our case, that is Juwan’s test scores). Let’s use the LSAT example from the video. We get that the standard deviation is 10.
How to compare z scores to LSAT scores?
Direct link to Evan’s post “You would just plug in the Z-score and mean into o…” You would just plug in the Z-score and mean into our formula, and then solve for the standard deviation using algebra. You also will need the number that the Z-score comes from (in our case, that is Juwan’s test scores). Let’s use the LSAT example from the video.
How to find the probability of a larger z score?
To find the probability of LARGER z-score, which is the probability of observing a value greater than x (the area under the curve to the RIGHT of x), type: =1 – NORMSDIST (and input the z-score you calculated).